TSTP Solution File: NUM376+1.015 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM376+1.015 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 13:03:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Proof 10.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM376+1.015 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Sep 2 09:57:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.20/0.48 % SZS status Unsatisfiable
% 0.20/0.48 % SZS output start Proof
% 0.20/0.48 tff(sum_type, type, (
% 0.20/0.48 sum: ( $i * $i ) > $i)).
% 0.20/0.48 tff(succ_type, type, (
% 0.20/0.48 succ: $i > $i)).
% 0.20/0.48 tff(tptp_fun_Y_0_type, type, (
% 0.20/0.48 tptp_fun_Y_0: $i)).
% 0.20/0.48 tff(pred_type, type, (
% 0.20/0.48 pred: $i > $i)).
% 0.20/0.48 tff(tptp_fun_X_1_type, type, (
% 0.20/0.48 tptp_fun_X_1: $i)).
% 0.20/0.48 tff(n10_type, type, (
% 0.20/0.48 n10: $i)).
% 0.20/0.48 tff(n6_type, type, (
% 0.20/0.48 n6: $i)).
% 0.20/0.48 tff(n14_type, type, (
% 0.20/0.48 n14: $i)).
% 0.20/0.48 tff(n12_type, type, (
% 0.20/0.48 n12: $i)).
% 0.20/0.48 tff(n15_type, type, (
% 0.20/0.48 n15: $i)).
% 0.20/0.48 tff(n13_type, type, (
% 0.20/0.48 n13: $i)).
% 0.20/0.48 tff(n11_type, type, (
% 0.20/0.48 n11: $i)).
% 0.20/0.48 tff(n9_type, type, (
% 0.20/0.48 n9: $i)).
% 0.20/0.48 tff(n8_type, type, (
% 0.20/0.48 n8: $i)).
% 0.20/0.48 tff(n7_type, type, (
% 0.20/0.48 n7: $i)).
% 0.20/0.48 tff(n5_type, type, (
% 0.20/0.48 n5: $i)).
% 0.20/0.48 tff(n4_type, type, (
% 0.20/0.48 n4: $i)).
% 0.20/0.48 tff(n3_type, type, (
% 0.20/0.48 n3: $i)).
% 0.20/0.48 tff(n2_type, type, (
% 0.20/0.48 n2: $i)).
% 0.20/0.48 tff(n1_type, type, (
% 0.20/0.48 n1: $i)).
% 0.20/0.48 tff(n0_type, type, (
% 0.20/0.48 n0: $i)).
% 0.20/0.48 tff(1,plain,
% 0.20/0.48 (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X!1 = n15) | (X!1 = n14) | (X!1 = n13) | (X!1 = n12) | (X!1 = n11) | (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 = n15) | (Y!0 = n14) | (Y!0 = n13) | (Y!0 = n12) | (Y!0 = n11) | (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(sum(pred(X!1), succ(Y!0)), sum(pred(Y!0), succ(X!1))) = sum(sum(pred(X!1), succ(X!1)), sum(pred(Y!0), succ(Y!0))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n8 = n11)) & (~(n8 = n12)) & (~(n8 = n13)) & (~(n8 = n14)) & (~(n8 = n15)) & (~(n9 = n10)) & (~(n9 = n11)) & (~(n9 = n12)) & (~(n9 = n13)) & (~(n9 = n14)) & (~(n9 = n15)) & (~(n10 = n11)) & (~(n10 = n12)) & (~(n10 = n13)) & (~(n10 = n14)) & (~(n10 = n15)) & (~(n11 = n12)) & (~(n11 = n13)) & (~(n11 = n14)) & (~(n11 = n15)) & (~(n12 = n13)) & (~(n12 = n14)) & (~(n12 = n15)) & (~(n13 = n14)) & (~(n13 = n15)) & (~(n14 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X!1 = n14) | (X!1 = n15) | (X!1 = n13) | (X!1 = n11) | (X!1 = n12) | (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 = n15) | (Y!0 = n14) | (Y!0 = n13) | (Y!0 = n12) | (Y!0 = n11) | (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(sum(pred(X!1), succ(Y!0)), sum(pred(Y!0), succ(X!1))) = sum(sum(pred(X!1), succ(X!1)), sum(pred(Y!0), succ(Y!0))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n8 = n11)) & (~(n8 = n12)) & (~(n8 = n13)) & (~(n8 = n14)) & (~(n8 = n15)) & (~(n9 = n10)) & (~(n9 = n11)) & (~(n9 = n12)) & (~(n9 = n13)) & (~(n9 = n14)) & (~(n9 = n15)) & (~(n10 = n11)) & (~(n10 = n12)) & (~(n10 = n13)) & (~(n10 = n14)) & (~(n10 = n15)) & (~(n11 = n12)) & (~(n11 = n13)) & (~(n11 = n14)) & (~(n11 = n15)) & (~(n12 = n13)) & (~(n12 = n14)) & (~(n12 = n15)) & (~(n13 = n14)) & (~(n13 = n15)) & (~(n14 = n15)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(2,plain,
% 0.20/0.51 (?[X: $i, Y: $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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n8 = n11)) & (~(n8 = n12)) & (~(n8 = n13)) & (~(n8 = n14)) & (~(n8 = n15)) & (~(n9 = n10)) & (~(n9 = n11)) & (~(n9 = n12)) & (~(n9 = n13)) & (~(n9 = n14)) & (~(n9 = n15)) & (~(n10 = n11)) & (~(n10 = n12)) & (~(n10 = n13)) & (~(n10 = n14)) & (~(n10 = n15)) & (~(n11 = n12)) & (~(n11 = n13)) & (~(n11 = n14)) & (~(n11 = n15)) & (~(n12 = n13)) & (~(n12 = n14)) & (~(n12 = n15)) & (~(n13 = n14)) & (~(n13 = n15)) & (~(n14 = n15))) <=> ?[X: $i, Y: $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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(n8 = n9)) & (~(n8 = n10)) & (~(n8 = n11)) & (~(n8 = n12)) & (~(n8 = n13)) & (~(n8 = n14)) & (~(n8 = n15)) & (~(n9 = n10)) & (~(n9 = n11)) & (~(n9 = n12)) & (~(n9 = n13)) & (~(n9 = n14)) & (~(n9 = n15)) & (~(n10 = n11)) & (~(n10 = n12)) & (~(n10 = n13)) & (~(n10 = n14)) & (~(n10 = n15)) & (~(n11 = n12)) & (~(n11 = n13)) & (~(n11 = n14)) & (~(n11 = n15)) & (~(n12 = n13)) & (~(n12 = n14)) & (~(n12 = n15)) & (~(n13 = n14)) & (~(n13 = n15)) & (~(n14 = n15)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(3,plain,
% 0.20/0.54 (^[X: $i, Y: $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(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(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) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10)) & (succ(n10) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10)) & (succ(n10) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11))), ((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11)))), (((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11)) & (succ(n11) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11)) & (succ(n11) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12))), (((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12)))), ((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12)) & (succ(n12) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12)) & (succ(n12) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13))), ((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13)))), (((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13)) & (succ(n13) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13)) & (succ(n13) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14))), (((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14)))), ((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14)) & (succ(n14) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14)) & (succ(n14) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15))), ((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15)))), (((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15)) & (succ(n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15)) & (succ(n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0)) & (pred(n0) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0)) & (pred(n0) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15))), ((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15)))), (((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9)) & (pred(n11) = n10)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9)) & (pred(n11) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10))), (((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10)))), ((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10)) & (pred(n12) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10)) & (pred(n12) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11))), ((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11)))), (((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11)) & (pred(n13) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11)) & (pred(n13) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12))), (((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12)))), ((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12)) & (pred(n14) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12)) & (pred(n14) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13))), ((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13)))), (((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13)) & (pred(n15) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13)) & (pred(n15) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14))), (((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14)))), ((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11))), (((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15)) & (sum(n2, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15)) & (sum(n2, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15)) & (sum(n3, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15)) & (sum(n3, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0)) & (sum(n3, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0)) & (sum(n3, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15)) & (sum(n4, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15)) & (sum(n4, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0)) & (sum(n4, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0)) & (sum(n4, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1)) & (sum(n4, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1)) & (sum(n4, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15)) & (sum(n5, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15)) & (sum(n5, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0)) & (sum(n5, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0)) & (sum(n5, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1)) & (sum(n5, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1)) & (sum(n5, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2)) & (sum(n5, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2)) & (sum(n5, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15)) & (sum(n6, n10) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15)) & (sum(n6, n10) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0)) & (sum(n6, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0)) & (sum(n6, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1)) & (sum(n6, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1)) & (sum(n6, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2)) & (sum(n6, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2)) & (sum(n6, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3)) & (sum(n6, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3)) & (sum(n6, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15)) & (sum(n7, n9) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15)) & (sum(n7, n9) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0)) & (sum(n7, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0)) & (sum(n7, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1)) & (sum(n7, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1)) & (sum(n7, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2)) & (sum(n7, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2)) & (sum(n7, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3)) & (sum(n7, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3)) & (sum(n7, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4)) & (sum(n7, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4)) & (sum(n7, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15)) & (sum(n8, n8) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15)) & (sum(n8, n8) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2)) & (sum(n8, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2)) & (sum(n8, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3)) & (sum(n8, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3)) & (sum(n8, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4)) & (sum(n8, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4)) & (sum(n8, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5)) & (sum(n8, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5)) & (sum(n8, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15)) & (sum(n9, n7) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15)) & (sum(n9, n7) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3)) & (sum(n9, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3)) & (sum(n9, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4)) & (sum(n9, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4)) & (sum(n9, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5)) & (sum(n9, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5)) & (sum(n9, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6)) & (sum(n9, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6)) & (sum(n9, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7)) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7)) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15)) & (sum(n10, n6) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15)) & (sum(n10, n6) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4)) & (sum(n10, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4)) & (sum(n10, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5)) & (sum(n10, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5)) & (sum(n10, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6)) & (sum(n10, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6)) & (sum(n10, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7)) & (sum(n10, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7)) & (sum(n10, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8)) & (sum(n10, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8)) & (sum(n10, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5)) & (sum(n11, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5)) & (sum(n11, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6)) & (sum(n11, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6)) & (sum(n11, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7)) & (sum(n11, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7)) & (sum(n11, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8)) & (sum(n11, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8)) & (sum(n11, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9)) & (sum(n11, n15) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6)) & (sum(n12, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6)) & (sum(n12, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7)) & (sum(n12, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7)) & (sum(n12, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8)) & (sum(n12, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8)) & (sum(n12, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9)) & (sum(n12, n14) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7)) & (sum(n13, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7)) & (sum(n13, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8)) & (sum(n13, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8)) & (sum(n13, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9)) & (sum(n13, n13) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8)) & (sum(n14, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8)) & (sum(n14, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9)) & (sum(n14, n12) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, 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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9)) & (sum(n15, n11) = 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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14)))), trans(monotonicity(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((((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)))), (((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) <=> (((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n11)))), rewrite((((X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n11)) <=> ((X = n11) | (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 = n11)) <=> ((X = n11) | (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 = n11)) | (X = n12)) <=> (((X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n12)))), rewrite((((X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n12)) <=> ((X = n12) | (X = n11) | (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 = n11)) | (X = n12)) <=> ((X = n12) | (X = n11) | (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 = n11)) | (X = n12)) | (X = n13)) <=> (((X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n13)))), rewrite((((X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n13)) <=> ((X = n13) | (X = n12) | (X = n11) | (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 = n11)) | (X = n12)) | (X = n13)) <=> ((X = n13) | (X = n12) | (X = n11) | (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 = n11)) | (X = n12)) | (X = n13)) | (X = n14)) <=> (((X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n14)))), rewrite((((X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n14)) <=> ((X = n14) | (X = n13) | (X = n12) | (X = n11) | (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 = n11)) | (X = n12)) | (X = n13)) | (X = n14)) <=> ((X = n14) | (X = n13) | (X = n12) | (X = n11) | (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 = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15)) <=> (((X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n15)))), rewrite((((X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) | (X = n15)) <=> ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (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 = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15)) <=> ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14)) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14)) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (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(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)))), (((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) <=> (((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n11)))), rewrite((((Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n11)) <=> ((Y = n11) | (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 = n11)) <=> ((Y = n11) | (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 = n11)) | (Y = n12)) <=> (((Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n12)))), rewrite((((Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n12)) <=> ((Y = n12) | (Y = n11) | (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 = n11)) | (Y = n12)) <=> ((Y = n12) | (Y = n11) | (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 = n11)) | (Y = n12)) | (Y = n13)) <=> (((Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n13)))), rewrite((((Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n13)) <=> ((Y = n13) | (Y = n12) | (Y = n11) | (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 = n11)) | (Y = n12)) | (Y = n13)) <=> ((Y = n13) | (Y = n12) | (Y = n11) | (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 = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) <=> (((Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n14)))), rewrite((((Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n14)) <=> ((Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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 = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) <=> ((Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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 = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15)) <=> (((Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n15)))), rewrite((((Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) | (Y = n15)) <=> ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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 = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15)) <=> ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0))) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10))) & (~(n0 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10))) & (~(n0 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11))) & (~(n0 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11))) & (~(n0 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12))) & (~(n0 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12))) & (~(n0 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13))) & (~(n0 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13))) & (~(n0 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14))) & (~(n0 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14))) & (~(n0 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10))) & (~(n1 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10))) & (~(n1 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11))) & (~(n1 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11))) & (~(n1 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12))) & (~(n1 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12))) & (~(n1 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13))) & (~(n1 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13))) & (~(n1 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14))) & (~(n1 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14))) & (~(n1 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10))) & (~(n2 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10))) & (~(n2 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11))) & (~(n2 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11))) & (~(n2 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12))) & (~(n2 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12))) & (~(n2 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13))) & (~(n2 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13))) & (~(n2 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14))) & (~(n2 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14))) & (~(n2 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10))) & (~(n3 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10))) & (~(n3 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11))) & (~(n3 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11))) & (~(n3 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12))) & (~(n3 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12))) & (~(n3 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13))) & (~(n3 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13))) & (~(n3 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14))) & (~(n3 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14))) & (~(n3 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10))) & (~(n4 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10))) & (~(n4 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11))) & (~(n4 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11))) & (~(n4 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12))) & (~(n4 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12))) & (~(n4 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13))) & (~(n4 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13))) & (~(n4 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14))) & (~(n4 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14))) & (~(n4 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10))) & (~(n5 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10))) & (~(n5 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11))) & (~(n5 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11))) & (~(n5 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12))) & (~(n5 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12))) & (~(n5 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13))) & (~(n5 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13))) & (~(n5 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14))) & (~(n5 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14))) & (~(n5 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10))) & (~(n6 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10))) & (~(n6 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11))) & (~(n6 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11))) & (~(n6 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12))) & (~(n6 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12))) & (~(n6 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13))) & (~(n6 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13))) & (~(n6 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14))) & (~(n6 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14))) & (~(n6 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10))) & (~(n7 = n11))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10))) & (~(n7 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11))) & (~(n7 = n12))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11))) & (~(n7 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12))) & (~(n7 = n13))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12))) & (~(n7 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) & (~(n7 = n14))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13))) & (~(n7 = n14))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13))) & (~(n7 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) & (~(n7 = n14))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) & (~(n7 = n14))) & (~(n7 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14))) & (~(n7 = n15))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14))) & (~(n7 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) & (~(n7 = n14))) & (~(n7 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) & (~(n7 = n14))) & (~(n7 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) & (~(n7 = n14))) & (~(n7 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(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) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X = n0) | (X = n1)) | (X = n2)) | (X = n3)) | (X = n4)) | (X = n5)) | (X = n6)) | (X = n7)) | (X = n8)) | (X = n9)) | (X = n10)) | (X = n11)) | (X = n12)) | (X = n13)) | (X = n14)) | (X = n15))) & ((((((((((((((((Y = n0) | (Y = n1)) | (Y = n2)) | (Y = n3)) | (Y = n4)) | (Y = n5)) | (Y = n6)) | (Y = n7)) | (Y = n8)) | (Y = n9)) | (Y = n10)) | (Y = n11)) | (Y = n12)) | (Y = n13)) | (Y = n14)) | (Y = n15))) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y)))))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(n2 = n13))) & (~(n2 = n14))) & (~(n2 = n15))) & (~(n3 = n4))) & (~(n3 = n5))) & (~(n3 = n6))) & (~(n3 = n7))) & (~(n3 = n8))) & (~(n3 = n9))) & (~(n3 = n10))) & (~(n3 = n11))) & (~(n3 = n12))) & (~(n3 = n13))) & (~(n3 = n14))) & (~(n3 = n15))) & (~(n4 = n5))) & (~(n4 = n6))) & (~(n4 = n7))) & (~(n4 = n8))) & (~(n4 = n9))) & (~(n4 = n10))) & (~(n4 = n11))) & (~(n4 = n12))) & (~(n4 = n13))) & (~(n4 = n14))) & (~(n4 = n15))) & (~(n5 = n6))) & (~(n5 = n7))) & (~(n5 = n8))) & (~(n5 = n9))) & (~(n5 = n10))) & (~(n5 = n11))) & (~(n5 = n12))) & (~(n5 = n13))) & (~(n5 = n14))) & (~(n5 = n15))) & (~(n6 = n7))) & (~(n6 = n8))) & (~(n6 = n9))) & (~(n6 = n10))) & (~(n6 = n11))) & (~(n6 = n12))) & (~(n6 = n13))) & (~(n6 = n14))) & (~(n6 = n15))) & (~(n7 = n8))) & (~(n7 = n9))) & (~(n7 = n10))) & (~(n7 = n11))) & (~(n7 = n12))) & (~(n7 = n13))) & (~(n7 = n14))) & (~(n7 = n15))) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(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) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X = n15) | (X = n14) | (X = n13) | (X = n12) | (X = n11) | (X = n10) | (X = n9) | (X = n8) | (X = n7) | (X = n6) | (X = n5) | (X = n4) | (X = n3) | (X = n2) | (X = n1) | (X = n0)) & ((Y = n15) | (Y = n14) | (Y = n13) | (Y = n12) | (Y = n11) | (Y = n10) | (Y = n9) | (Y = n8) | (Y = n7) | (Y = n6) | (Y = n5) | (Y = n4) | (Y = n3) | (Y = n2) | (Y = n1) | (Y = n0)) & (~(sum(sum(pred(X), succ(Y)), sum(pred(Y), succ(X))) = sum(sum(pred(X), succ(X)), sum(pred(Y), succ(Y))))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11)) & (~(n3 = n12)) & (~(n3 = n13)) & (~(n3 = n14)) & (~(n3 = n15)) & (~(n4 = n5)) & (~(n4 = n6)) & (~(n4 = n7)) & (~(n4 = n8)) & (~(n4 = n9)) & (~(n4 = n10)) & (~(n4 = n11)) & (~(n4 = n12)) & (~(n4 = n13)) & (~(n4 = n14)) & (~(n4 = n15)) & (~(n5 = n6)) & (~(n5 = n7)) & (~(n5 = n8)) & (~(n5 = n9)) & (~(n5 = n10)) & (~(n5 = n11)) & (~(n5 = n12)) & (~(n5 = n13)) & (~(n5 = n14)) & (~(n5 = n15)) & (~(n6 = n7)) & (~(n6 = n8)) & (~(n6 = n9)) & (~(n6 = n10)) & (~(n6 = n11)) & (~(n6 = n12)) & (~(n6 = n13)) & (~(n6 = n14)) & (~(n6 = n15)) & (~(n7 = n8)) & (~(n7 = n9)) & (~(n7 = n10)) & (~(n7 = n11)) & (~(n7 = n12)) & (~(n7 = n13)) & (~(n7 = n14)) & (~(n7 = n15)) & (~(n8 = n9))) & (~(n8 = n10))) <